Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal for Uncertainty Quantification
IF: 3.259 5-Year IF: 2.547 SJR: 0.417 SNIP: 0.8 CiteScore™: 1.52

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2012003959
pages 187-201

THE MUTUAL INFORMATION DIAGRAM FOR UNCERTAINTY VISUALIZATION

Carlos D. Correa
Center for Applied Scientific Computing (CASC), Lawrence Livermore National Laboratory, Livermore, California, USA
Peter Lindstrom
Center for Applied Scientific Computing (CASC), Lawrence Livermore National Laboratory, Livermore, California, USA

ABSTRACT

We present a variant of the Taylor diagram, a type of two-dimensional plot that succinctly shows the relationship between two or more random variables based on their variance and correlation. The Taylor diagram has been adopted by the climate and geophysics communities to produce insightful visualizations, e.g., for intercomparison studies. Our variant, which we call the "mutual information diagram," represents the relationship between random variables in terms of their entropy and mutual information, and naturally maps well-known statistical quantities to their information-theoretic counterparts. Our new diagram is able to describe nonlinear relationships where linear correlation may fail; it allows for categorical and multivariate data to be compared; and it incorporates the notion of uncertainty, key in the study of large ensembles of data.


Articles with similar content:

APPLICATION OF BAYESIAN FORMALISM TO IDENTIFICATION OF LOGICAL-AND-PROBABILISTIC MODELS FOR ESTIMATING THE LEVEL OF INFORMATION SECURITY OF MODERN INFORMATION AND COMMUNICATION NETWORKS
Telecommunications and Radio Engineering, Vol.69, 2010, issue 19
A. N. Nazarov
HEAT TRANSFER CORRELATIONS FOR HYDRODYNAMICALLY DEVELOPED LAMINAR FLOW IN AN ANNULUS
Second Thermal and Fluids Engineering Conference, Vol.24, 2017, issue
John L. Wright, Sepehr Foroushani, David Naylor
Algorithm for Analysis of a Modular Structure of the JPEG Format Image, Modified by Steganographic Embedment, and Determination of the Number of Variations
Telecommunications and Radio Engineering, Vol.65, 2006, issue 6-10
I. V. Ivanov, V. A. Baranov, O. V. Gatilov
DROPLET SIZE SCALING OF AGRICULTURAL SPRAY MATERIAL BY DIMENSIONAL ANALYSIS
Atomization and Sprays, Vol.10, 2000, issue 2
Milton E. Teske, Harold W. Thistle
GENERAILIZED TWO-TEMPERATURE MODEL FOR COUPLED PHONONS IN NANOSIZED GRAPHENE
International Heat Transfer Conference 16, Vol.17, 2018, issue
Nuo Yang, Zelin Jin, Baoling Huang, Dengke Ma, Meng An, Xiaoxiang Yu, Han Meng, Ruiyang Li, Qichen Song